Properties of Circles (Edexcel GCSE Maths)

Revision Note

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Jamie Wood

Written by: Jamie Wood

Reviewed by: Dan Finlay

Properties of Circles

  • Circles have several specific terms that you need to be familiar with:

    • A circle's perimeter is called a circumference

    • Its line of symmetry is called a diameter

    • The line from the centre of the circle to its circumference is called a radius

      • The diameter is equal to 2 × the radius

    • A portion of the circumference is called an arc

    • A portion of the area, contained between two radii and an arc, is called a sector

    • A line between two points on the circumference is called a chord

    • The area formed between a chord and an arc is called a segment

    • A line which intersects the circumference at one point only, is called a tangent

Properties of a circle
  • The ratio circumference over diameter is equal to π (3.14159...)

  • Circles have many angle properties and you will need to learn some of them

    • These can be found in the revision note named Circle Theorems

Examiner Tips and Tricks

  • Always double check if a measurement is the diameter or the radius

    • This is a really common error in exams

    • Diameter = 2 × Radius

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Jamie Wood

Author: Jamie Wood

Expertise: Maths

Jamie graduated in 2014 from the University of Bristol with a degree in Electronic and Communications Engineering. He has worked as a teacher for 8 years, in secondary schools and in further education; teaching GCSE and A Level. He is passionate about helping students fulfil their potential through easy-to-use resources and high-quality questions and solutions.

Dan Finlay

Author: Dan Finlay

Expertise: Maths Lead

Dan graduated from the University of Oxford with a First class degree in mathematics. As well as teaching maths for over 8 years, Dan has marked a range of exams for Edexcel, tutored students and taught A Level Accounting. Dan has a keen interest in statistics and probability and their real-life applications.